Answered step by step
Verified Expert Solution
Question
1 Approved Answer
Model 5: Multiple servers with finite buffers M/M/s/b queue Multiple servers, Infinite population, Poisson arrival, FCFS, Exponential service time, Limited capacity (b) Inputs Unit
Model 5: Multiple servers with finite buffers M/M/s/b queue Multiple servers, Infinite population, Poisson arrival, FCFS, Exponential service time, Limited capacity (b) Inputs Unit of time Arrival rate (2) Service rate () Number of servers (s) Buffer (waiting room) size Outputs Mean time between arrivals Mean time per service Traffic intensity Summary measures Average utilization rate of servers Average number of customers waiting in line (nl) Average number of customers in system (ns) Average time waiting in line (tl) Average time in system (ts) Probability of no customers in system (PO) Probability of rejecting a customer (balking rate) Effective arrival rate Hour 20 patients per 10 patients per Hour Hour 6 Hospital staff 14 patients 0.050 Hour 0.1 Hour 0.333333333 33.3% 0.0090 patients 2.0090 patients 0.0005 Hour 0.1005 Hour (Note: The maximum capacity in system is equal to number of servers plus waiting room size) 0.1351 (Probability of empty system) 0.00% (Reject rate) 19.99999995 (Entering rate)
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started